Entanglement evolution after a global quench across a conformal defect

Abstract

We study the evolution of entanglement after a global quench in a one-dimensional quantum system with a localized impurity. For systems described by a conformal field theory, the entanglement entropy between the two regions separated by the defect grows linearly in time. Introducing the notion of boundary twist fields, we show how the slope of this growth can be related to the effective central charge that emerges in the study of ground-state entropy in the presence of the defect. On the other hand, we also consider a particular lattice realization of the quench in a free-fermion chain with a conformal defect. Starting from a gapped initial state, we obtain the slope via a quasiparticle ansatz and observe small discrepancies between the field theory and lattice results, which persist even in the limit of a vanishing gap.

Submission to SciPost; References added

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• Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
• Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
• Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Dynamics and steady states of tight-binding chains in presence of isolated defects
• $2$-Rényi CCNR Negativity of Compact Boson for multiple disjoint intervals